B.Com. II (Semester IV) (CBCS) Examination, 2018
Busines statistics
Day and Date Friday, 14-12-2018 Max. Marks 70
Time 10.30 a.m. to 1.00 p.m.
Instructions All questions are compulsory.
Figures to right indicate full marks.
Use of soundless calculator is allowed.
Graph paper will be supplied on request.
1. Choose the correct alternative. 14
For binomial distribution standard deviation is
np npq npq none of these
The set of all possible outcomes of an experiment is called
event sample space
probability none of these
The square root of product of Laspeyre's and Paasche's index number is
known as
Fisher's index number Kelly's Index Number
Walsh Index Number none of these
Random variation (chance) in the manufactured product is
controllable not controllable
both a and b none of these
I n time series data arranged
geographically qualitatively
chronologically none of these
Use of an umbrella in rainy season is included in
secular trend seasonal variation
cyclic variation irregular variation
For normal distribution
mean median median mode
mean median mode none of these
Seat
No. Set P
Set P
SLR-CO 38 *SLRCO38*
Control limits of p and np charts are based upon the concept of
Binomial Distribution N ormal Distribution
Poisson Distribution none of these
Upper control limits in Range control chart is given by
2 D R 3 D R
4 D R none of these
10) I f 9 the upper control limits control charts is
9 18 27 none of these
11) Years 1971 1972 1973 1974 1975
Values 20 24 25 30 40
The 3 yearly moving average for the year 1972 is
20 24 23 25
12) Find the probability that there will be 53 Sunday in a leap year is
1
7
2
7
3
7
1
6
13) A result of an experiment may be called
trial sample space an outcome none of these
14) takes into account the price and quantities for both current
year and base year.
Fishers Index Number Laspeyres Index Number
Paasche's Index Number none of these
2. Define Binomial Distribution. State mean and variance of Binomial
Distribution. 7
Explain the following terms. 7
Mutually exclusive events
ii) Sample Space
iii) I ndependent Events.
3. The first quartile and standard deviation of a normal distribution are
250 and 75. Find the mean and mean deviation. 7
The five-yearly moving average of the profits of LR and company for the
years 1942 1946, 1943 1947 and 1944 1948 are Rs. 2,400, Rs. 3,000
and Rs. 3,200 respectively. If profit for the year 1942 and 1943 are Rs. 500
and Rs. 700 respectively. Find the average profits for the year 1947 and
1948. 7
4. State the important properties of Normal curve. 14
OR
Calculate the progressive average from the following data and draw a graph
paper trend values and actual values. 14
Years 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
Values 230 250 200 230 250 240 260 280 290 300
5. Construct X and R control charts on separate graph papers. 14
Sample Nos. 1 2 3 4 5 6 7 8 9 10
Mean 43 49 37 44 45 40 55 60 40 50
Range 5 6 7 8 4 3 7 8 9 10
[Given that n A2 0.58, D3= D4 2.11]
OR
What is Time Series Explain the components of Time series. 14